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Finding the Third Proportional to 87,833.81 and 195,320.25

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Solution

The third proportional to 87,833.81 and 195,320.25 is: 434,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,833.81 : 195,320.25 = 195,320.25 : x
  2. Step 2: Convert to fraction form
    87,833.81/195,320.25 = 195,320.25/x
  3. Step 3: Cross multiply
    87,833.81x = 195,320.25 × 195,320.25
  4. Step 4: Simplify right side
    87,833.81x = 38,150,000,060.06
  5. Step 5: Solve for x
    x = 38,150,000,060.06/87,833.81
  6. Step 6: Final answer
    x = 434,342.98

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.